4193 ÷ 97 
We're looking to find how many times 97 goes into 4193.

Let's proceed to step 1:
When dividing 4 by 97, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 97

Going ahead to step 2:
41 divided by 97 is 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 97

Advancing to step 3:
The number 97 fits into 419 4 times, leaving a remainder of 31.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 388 from 419 leaves us with 31.
Bring next digit (3) of the dividend behind the 31 and repeat the process: 313 / 97

Moving on to step 4:
97 goes into 313 3 times with a remainder of 22.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Subtract 291 from 313 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 5:
The number 97 fits into 220 2 times, leaving a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 43.2
If we take 194 away from 220, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 6:
If we divide 260 by 97, we get 2 and a remainder of 66.
Put 2 as the next digit of the answer. 
Result so far: 43.22
The remainder is 66 after subtracting 194 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

After the division, we end up with 43.22 and a remainder of 0.066.